Singular integrals related to homogeneous mapping with rough kernels on product spaces
نویسندگان
چکیده
منابع مشابه
Rough singular integrals on product spaces
where, p.v. denotes the principal value. It is known that if Φ is of finite type at 0 (see Definition 2.2) and Ω ∈ 1(Sn−1), then TΦ,Ω is bounded on Lp for 1<p <∞ [15]. Moreover, it is known that TΦ,Ω may fail to be bounded on Lp for any p if the finite-type condition is removed. In [8], Fan et al. showed that the Lp boundedness of the operator TΦ,Ω still holds if the condition Ω ∈ 1(Sn−1) is re...
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ژورنال
عنوان ژورنال: Tamkang Journal of Mathematics
سال: 2008
ISSN: 2073-9826,0049-2930
DOI: 10.5556/j.tkjm.39.2008.27